The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0016. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: o = 0 H: 0.0016 O
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- A production engineer wants to determine if two assembly lines are producing the same mean number of units To test this: a sample of 10 days on line A reveals a mean of 110 units with a variance of 200 a sample of 15 days on line B reveals a mean of 100 units with a variance of 150. 1. Set up hypotheses and perform the appropriate test to resolve this question. Fully interpret your results.Please answer the question contained in the following pictureA manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 427 gram setting. It is believed that the machine is underfilling the bags. A 24 bag sample had a mean of 425 grams with a variance of 100. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.
- For a standardized psychology examination, the scores have a mean of 500 and a variance of 9475. It is hypothesized that the variance, o, of scores for psychology majors on this exam is lower than 9475. A random sample of 26 exams completed by psychology majors had a mean of 509 and a variance of 3987. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 level of significance, that the hypothesis is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) OA professor believes that the variance of ACT composite scores of honor students is less than that of all students who take the ACT. The sample variance of the ACT composite scores for a random sample of 15 honors students is 10.7. The sample variance of the ACT composite scores for a random sample of 18 other students is 24.2 Assume that both population distributions are approximately normal and test the professor’s claim using a 0.10 level of significance. Does the evidence support the professor’s claim? Let honor students be Population 1 and let students in general be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22 Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Step 2 of 3: Compute the value of the test statistic. Round your answer to four decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 670 days and a variance of 14884. BIG Corporation claims that the variance of its electric bulbs is less than 14884. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. OA company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions are normal, and the populations are independent. Use a = 0.01. A sample of 26 products were selected from Supplier 1 and a standard deviation of quality was found to be 6.0042. A sample of 25 products were selected from Supplier 2 and a standard deviation of quality was found to be 1.802. Test to see if the variance in quality for Supplier 1 is larger than Supplier 2. What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ✓ ? Select an answer H₁: Select an answer ? ✓ Select an answer Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The p-value is The decision is to Select an answer The correct summary would be: Select an answer quality for Supplier 1 is larger than Supplier 2. ✓that the variance inA manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that Statement a: The mean is 200mm Statement b : The variance is 1.5mm squared To investigate the second claim the thickness of a second sample of metal sheets was measured. The values found are listed in Part b with mm as unit. Set up the framework of an appropriate statistical test on Statement B Explain how knowing the sample variance before carrying out the test would influence the structure of the test.Please answer the question contained in the following pictureA professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 29 non-accounting majors and 29 accounting majors are taken from a final exam. Test at the 1% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. Non-Accounting Accounting H₁:0² = 0² H₁:0² > 0² C. H₂:0² = 0² H₁:0² #0² nx = 29 ny = 29 S The critical value is X 2 represented by Ho and the alternative hypothesis is represented by H₁. Choose the correct answer below. OB. Ho: 0²20² H₁:0² <0² = 1611.016 = 446.238 2 OD. H₂:0² = 0² o H₁:0² <0² The test statistic is F = 3.610. (Round to three decimal places as needed.) (Round to two decimal places as needed.)The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = State your conclusion. Do not reject Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…Airline companies are interested in the consistency of the number of babies on each flight so that they have adequate safety equipment. They are also interested in the variation in the number of babies. Suppose that an airline executive believes the average number of babies on flights is six with a variance of nine at most. The airline conducts a survey. The results of the 18 flights surveyed give a sample average of 6.4 with a sample standard deviation of 3.9. To test the null hypothesis against the alternative hypothesis one relies on the chi-squared test. What is the Test Statistic? a. 18.37 b. 47.38 c. 9.26 d. 28.73SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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